Sentence examples for as the initial data from inspiring English sources

As the initial data, we used three DEMs of these areas with resolutions of 0.25°, 0.0625°, and 0.015625°, correspondingly.

These reconstructions are then used as the initial data for Riemann problems, and the resulting fluctuations form the basis for the spatial discretization.

A thermodynamic model has been developed for interfacial energies of coherent interfaces using only the molar Gibbs energy and the molar volume of the two phases surrounding the interface as the initial data.

Total variance method transforms time-offset data to frequency-offset data and extends the data to be a virtual sequence nearly as three times long as the initial data by mapping.

Thus, we can take ( ρ, u, w, H ) ( x, T ∗ ) as the initial data and apply the local existence theorem to extend the local strong solutions beyond T ∗.

Heat production 1.79 TWh per year by proportion 30/70% (biomass/natural gas) was used as the initial data for modeling.

For the first step, the quantization of the expression values, as well as for the initial data pruning, we used Fayyad and Irani's algorithm [626].

Firstly we state the results on the global existence and uniqueness of smooth solutions as: Assume that the initial data are close enough to the constant state ( ρ ̄, 0, 0 ) with ρ ̄ > 0, i.e., there exists a constant δ0 such that | ρ 0 − ρ ̄, u 0, H 0 | H 3 ≤ δ 0. (8).

We prove that if the initial function φ is in some Gevrey class, then there exists a positive constant T such that the solution u of NLS is in the Gevrey class of the same order as in the initial data in time variable t ∈[-T,T]0.

where the dual sequence is defined by a similar relationship as with the initial data.

We will assume that the vector-valued function belongs to the space, while, as for the initial data, we suppose that and.